20280130928640 has 1248 divisors, whose sum is σ = 81400366464480. Its totient is φ = 4783519825920.

The previous prime is 20280130928623. The next prime is 20280130928671. The reversal of 20280130928640 is 4682903108202.

20280130928640 is a `hidden beast` number, since 2 + 0 + 28 + 0 + 1 + 309 + 286 + 40 = 666.

It is a super-2 number, since 2×20280130928640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548111646702 + ... + 548111646738.

Almost surely, 2^{20280130928640} is an apocalyptic number.

20280130928640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20280130928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40700183232240).

20280130928640 is an abundant number, since it is smaller than the sum of its proper divisors (61120235535840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20280130928640 is an frugal number, since it uses more digits than its factorization.

20280130928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20280130928640 in words is "twenty trillion, two hundred eighty billion, one hundred thirty million, nine hundred twenty-eight thousand, six hundred forty".